On Evolutes of Null Cartan Curves in Minkowski 4-Space
This paper aims to discuss the theory of evolutes of null Cartan curves in Minkowski 4-space. In the second part, we present the basic concepts of curves in Minkowski 4-space with its Frenet equations.
Arfah Arfah
doaj
Toward the classification of differential calculi on κ-Minkowski space and related field theories [PDF]
A bstractClassification of differential forms on κ-Minkowski space, particularly, the classification of all bicovariant differential calculi of classical dimension is presented.
T. Jurić+3 more
semanticscholar +1 more source
Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
We formulate a prescription for computing Minkowski-space correlators from AdS/CFT correspondence. This prescription is shown to give the correct retarded propagators at zero temperature in four dimensions, as well as at finite temperature in the two ...
D. Son, A. Starinets
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Solving the inhomogeneous Bethe–Salpeter equation in Minkowski space: the zero-energy limit [PDF]
The inhomogeneous Bethe–Salpeter equation for an interacting system, composed of two massive scalars exchanging a massive scalar, is numerically investigated in the ladder approximation directly in Minkowski space, by using for the first time in the ...
T. Frederico, G. Salmè, M. Viviani
semanticscholar +1 more source
Stability of Minkowski Space-Time with a Translation Space-Like Killing Field [PDF]
In this paper we prove the nonlinear stability of Minkowski space-time with a translation Killing field. In the presence of such a symmetry, the $$3+1$$3+1 vacuum Einstein equations reduce to the $$2+1$$2+1 Einstein equations with a scalar field. We work
Cécile Huneau
semanticscholar +1 more source
Conformal Symmetry and Supersymmetry in Rindler Space
This paper addresses the fate of extended space-time symmetries, in particular conformal symmetry and supersymmetry, in two-dimensional Rindler space-time appropriate to a uniformly accelerated non-inertial frame in flat 1+1-dimensional space-time ...
Jan-Willem van Holten
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Realizations of $$\kappa $$κ-Minkowski space, Drinfeld twists, and related symmetry algebras [PDF]
Realizations of $$\kappa $$κ-Minkowski space linear in momenta are studied for time-, space- and light-like deformations. We construct and classify all such linear realizations and express them in terms of the $$\mathfrak {gl}(n)$$gl(n) generators. There
T. Jurić, S. Meljanac, Danijel Pikutić
semanticscholar +1 more source
The dual conformal box integral in Minkowski space
The dual conformal box integral in Minkowski space is not fully determined by the conformal invariants z and z¯. Depending on the kinematic region its value is on a ‘branch’ of the Bloch-Wigner function which occurs in the Euclidean case.
Luke Corcoran, Matthias Staudacher
doaj
Brownian Motion in Minkowski Space
We construct a model of Brownian motion in Minkowski space. There are two aspects of the problem. The first is to define a sequence of stopping times associated with the Brownian “kicks” or impulses.
Paul O'Hara, Lamberto Rondoni
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Entanglement in Unruh, Hawking, and Cherenkov radiation from a quantum optical perspective
Free quantum field theory in flat space-time is often believed to be well established, holding no surprises. We hope, by the end of this paper, to have demonstrated that surprises still exist.
Marlan O. Scully+2 more
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